Home
Class 12
MATHS
In a scalene triangle ABC the altitudes ...

In a scalene triangle `ABC` the altitudes `AD & CF` are dropped from the vertices `A& C` to the sides `BC &AB.` The area of `Delta ABC` is known to be equal to 18, the area of triangle `BDF` is equal to 2 and length of segment `DF` is equal to `2sqrt2.` Find the radius of the circle circumscribed.

Text Solution

Verified by Experts

The correct Answer is:
`(9)/(2)` units
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL I)|4 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

Let the lengths of the altitudes drawn from the vertices of Delta ABC to the opposite sides are 2, 2 and 3. If the area of Delta ABC " is " Delta , then find the area of triangle

In a scalene triangle ABC , AD and CF are the altitudes drawn from A and C on the sides BC and AB repectively.If the area of the triangle ABC and BDF are 18sq.units and 2 sq. units respectively and DF = 2sqrt2 , then R =

The area of the triangle ABC is equal to area of square of side length 6cm. What is the length of the altitude to AB where AB=9cm?

The length of the altitudes from the vertices A,B,C of a triangle ABC to opposite sides are 24,18,(72)/(5) respectively. If Delta is the area of the triangle ABC then root(3)(Delta) is equal to

If the area of a triangle ABC is given by Delta=a^(2)-(b-c)^(2) , then tan.(A)/(2) is equal to

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
  1. If in a triangle ABC, /A = 30^@ and the area of triangle (sqrt3a^2)/4 ...

    Text Solution

    |

  2. If p1,\ p2, p3 are the altitudes of a triangle from the vertices A , B...

    Text Solution

    |

  3. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

    Text Solution

    |

  4. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

    Text Solution

    |

  5. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

    Text Solution

    |

  6. Prove that 2R cos A = 2R + r - r(1)

    Text Solution

    |

  7. The triangle ABC is a right angled triangle, right angle at A. The rat...

    Text Solution

    |

  8. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

    Text Solution

    |

  9. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

    Text Solution

    |

  10. If D is the mid point of CA in triangle ABC and Delta is the area of t...

    Text Solution

    |

  11. Show that the radii of the three escribed circles of a triangle are ro...

    Text Solution

    |

  12. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  13. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  14. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  15. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  16. A cyclic quadrilateral A B C D of areal (3sqrt(3))/4 is inscribed in u...

    Text Solution

    |

  17. If two times the square of the diameter of the circumcircle of a trian...

    Text Solution

    |

  18. In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/...

    Text Solution

    |

  19. The triangle ABC (with side lengths a ,b ,c as usual) satisfies loga^2...

    Text Solution

    |

  20. ABC is a triangle. Circles with radii as shown are drawn inside the tr...

    Text Solution

    |